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- W2060698863 abstract "Abstract The Borel sum of the perturbation expansion of any eigenvalue of the double-well oscillator p2+x2+2gx3+g2x4, g>0, is proved to represent a complex eigenvalue of the non self-adjoint operator e i π 3 (p 2 + e − 2 i π 3 x 2 + 2g e − 5 i π 6 x 3 + g 2 e − i π x 4 ) . This result makes the Zinn-Justin conjecture equivalent to the coincidence between the l = 0 eigenvalues of the two-dimensional oscillator 1 2 (|p| 2 + |x| 4 and those of the complex double well p 2 + x 2 + 2g e − i π 2 x 3 + g 2 e − i π x 4 ." @default.
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- W2060698863 date "1983-02-01" @default.
- W2060698863 modified "2023-09-23" @default.
- W2060698863 title "The Borel sum of the double-well perturbation series and the Zinn-Justin conjecture" @default.
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- W2060698863 doi "https://doi.org/10.1016/0370-2693(83)91188-7" @default.
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